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Finding the Fourth Proportional to 614.07, 917.10 and 531.99

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Solution

The fourth proportional to 614.07, 917.10 and 531.99 is: 794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.07 : 917.10 = 531.99 : x
  2. Step 2: Convert to fraction form
    614.07/917.10 = 531.99/x
  3. Step 3: Cross multiply
    614.07x = 917.10 × 531.99
  4. Step 4: Simplify right side
    614.07x = 487,888.03
  5. Step 5: Solve for x
    x = 487,888.03/614.07
  6. Step 6: Final answer
    x = 794.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.